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Finding the Fourth Proportional to 130,752.02, 180,233.08 and 85,407.32

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Solution

The fourth proportional to 130,752.02, 180,233.08 and 85,407.32 is: 117,728.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,752.02 : 180,233.08 = 85,407.32 : x
  2. Step 2: Convert to fraction form
    130,752.02/180,233.08 = 85,407.32/x
  3. Step 3: Cross multiply
    130,752.02x = 180,233.08 × 85,407.32
  4. Step 4: Simplify right side
    130,752.02x = 15,393,224,338.15
  5. Step 5: Solve for x
    x = 15,393,224,338.15/130,752.02
  6. Step 6: Final answer
    x = 117,728.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.